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Activity Number: 78
Type: Invited
Date/Time: Monday, August 4, 2008 : 8:30 AM to 10:20 AM
Sponsor: Section on Statistics in Epidemiology
Abstract - #300192
Title: Shrinkage Estimators for Robust and Efficient Inference in Haplotype-Based Case-Control Studies
Author(s): Yi-Hau Chen*+ and Nilanjan Chatterjee and Raymond Carroll
Companies: Institute of Statistical Science, Academia Sinica and National Cancer Institute and Texas A&M University
Address: No 128 Sec 2 Academia Road, Taipei, 11529, Taiwan
Keywords: bias-efficiency trade-off ; empirical Bayes ; gene-environment interaction ; penalized likelihood
Abstract:

We develop methods for haplotype-based analysis of case-control studies which gain efficiency by exploiting model assumptions of HWE and G-E independence and yet are resistant to bias when those assumptions are violated. The idea involves shrinkage of a "model-free" estimator that is robust to HWE and G-E independence towards a "model-based" estimator that directly exploits those assumptions. A "model-free" estimator is first proposed which is closely related to the "prospective" estimator. Considering the "retrospective" estimator in Spinka et al. (2005) as the "model-based estimator, we then propose shrinkage estimators based respectively on the empirical Bayes and the penalized likelihood approaches. Variance estimation for these shrinkage estimators is proposed. Bias vs. efficiency trade-off for the shrinkage estimators is studied via simulations, and a real application is provided.


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